All Analytical and Logical Reasoning MCQs

Question 1

A researcher surveyed a random sample of students from a large university about how often they see movies. Using the sample data, the researcher estimated that 23% of the students in the population saw a movie at least once per month. The margin of error for this estimation is 4%. Which of the following is the most appropriate conclusion about all students at the university, based on the given estimate and margin of error?

Accepted Answer

It is plausible that the percentage of students who see a movie at least once per month is between 19% and 27%.

Answer

It is unlikely that less than 23% of the students see a movie atleast once per month.

Answer

At least 23%, but no more than 25%, of the students see a movie at least once per month.

Answer

The researcher is between 19% and 27% sure that most students see a movie at least once per month.

Question 2

A book was on sale for 40% off its original price. If the sale price of the book was $18.00, what was the original price of the book? (Assume there is no sales tax.)

Accepted Answer

$30.00

Answer

$7.20

Answer

$10.80

Answer

$45.00

Question 3

The volume of a sphere is given by the formula V = 4/3πr3, where r is the radius of the sphere. Which of the following gives the radius of the sphere in terms of the volume of the sphere?

Accepted Answer

3√3V/4π

Answer

4π/3V

Answer

3V/4π

Answer

3√4π/3V

Question 4

In quadrilateral ABCD, AD  BC and CD = 1/2 AB. What is the measure of angle B?

Accepted Answer

150°

Answer

135°

Answer

120°

Answer

90°

Question 5

Lynne has $8.00 to spend on apples and oranges. Apples cost $0.65 each, and oranges cost $0.75 each. If there is no tax on this purchase and she buys 5 apples, what is the maximum number of whole oranges she can buy?

Accepted Answer

6

Answer

5

Answer

7

Answer

8

Question 6

The peregrine falcon can reach speeds of up to 200 miles per hour while diving to catch prey, making it the fastest animal on the planet when in a dive.What is a peregrine falcon's maximum speed while diving to catch prey, in feet per second? (Round your answer to the nearest whole number. 1 mile = 5280 feet)

Accepted Answer

293

Answer

289

Answer

290

Answer

295

Question 7

The peregrine falcon can reach speeds of up to 200 miles per hour while diving to catch prey, making it the fastest animal on the planet when in a dive.If a peregrine falcon dove at its maximum speed for half a mile to catch prey, how many seconds would the dive take? (Round your answer to the nearest second.)

Accepted Answer

9

Answer

6

Answer

7

Answer

8

Question 8

In the figure shown, line c intersects parallel lines s and t. What is the value of x ?

Accepted Answer

4 + 5

Answer

80

Answer

90

Answer

75

Question 9

An event planner is planning a party. It costs the event planner a onetime fee of $35 to rent the venue and $10.25 per attendee. The event planner has a budget of $200. What is the greatest number of attendees possible without exceeding the budget?

Accepted Answer

13

Answer

0.07

Answer

15

Answer

27

Question 10

For a particular machine that produces beads, 29 out of every 100 beads it produces have a defect. A bead produced by the machine will be selected at random. What is the probability of selecting a bead that has adefect?

Accepted Answer

29/100

Answer

1/2,900

Answer

1/29

Answer

29/10

Question 11

Each side of a square has a length of 45. What is the perimeter of this square?

Accepted Answer

180

Answer

120

Answer

170

Question 12

The table gives the distribution of votes for a new school mascot and grade level for 80 students. If one of these students is selected at random, what is the probability of selecting a student whose vote for new mascot was for a lion?

Accepted Answer

1/4

Answer

1/9

Answer

1/5

Answer

2/3

Question 13

An object is kicked from a platform. The equation h represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which numberrepresents the height, in meters, from which the object was kicked?

Accepted Answer

9

Answer

0

Answer

4.9

Answer

7

Question 14

One gallon of paint will cover 220 square feet of a surface. A room has a total wall area of w square feet. Which equation represents the total amount of paint P, in gallons, needed to paint the walls of the room twice?

Accepted Answer

P = w/110

Answer

P = 440w

Answer

P = w / 220

Answer

P = 220 w

Question 15

Which expression is equivalent to (m4 q4 z-1 )(mq5z3) ,where m, q, and z are positive?

Accepted Answer

m5q9z2

Answer

m4 q20 z−3

Answer

m6q8z-1

Answer

m20q12z-2

Question 16

5x + 10x + 16 = 0How many distinct real solutions does the given equation have?

Accepted Answer

Zero

Answer

Exactly One

Answer

Exactly Two

Answer

Infiniely many

Question 17

3 more than 8 times a number x is equal to 83. Which equation represents this situation?

Accepted Answer

8x + 3 = 83

Answer

(3)(8)x = 8

Answer

8x = 83 + 3

Answer

3x + 8 = 83

Question 18

To estimate the proportion of a population that has a certain characteristic, a random sample was selected from the population. Based on the sample, it is estimated that the proportion of the population that has the characteristic is 0.49, with an associated margin of error of 0.04. Based on this estimate and margin of error, which of the following is the most appropriate conclusion about the proportion of the population that has the characteristic?

Accepted Answer

It is plausible that the proportion is between 0.45 and 0.53.

Answer

It is plausible that the proportion is less than 0.45.

Answer

The proportion is exactly 0.49.

Answer

It is plausible that the proportion is greater than 0.53.

Question 19

The table summarizes the distribution of color and shape for 100 tiles of equal area.If one of these tiles is selected at random, what is the probability of selecting a red tile? (Express your answer as a decimal or fraction, not as a percent.)

Accepted Answer

3/10

Answer

7/10

Answer

5/10

Answer

9/10

Question 20

What length, in centimeters, is equivalent to a length of 51 meters? (1 meter = 100 centimeters)

Accepted Answer

5,100

Answer

0.051

Answer

0.51

Answer

51000

All Free Analytical and Logical Reasoning MCQs with Answers